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Finding the Third Proportional to 3,116.81 and 6,576.19

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Solution

The third proportional to 3,116.81 and 6,576.19 is: 13,875.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,116.81 : 6,576.19 = 6,576.19 : x
  2. Step 2: Convert to fraction form
    3,116.81/6,576.19 = 6,576.19/x
  3. Step 3: Cross multiply
    3,116.81x = 6,576.19 × 6,576.19
  4. Step 4: Simplify right side
    3,116.81x = 43,246,242.04
  5. Step 5: Solve for x
    x = 43,246,242.04/3,116.81
  6. Step 6: Final answer
    x = 13,875.15

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.